The domain of the rational function LaTeX: f\left(x\right)=\frac{9}{x-5}f ( x ) = 9 x − 5 is all real values of x such that LaTeX: x\ne

In this exercise we have the following function:

So the domain of this function is the set of all real numbers such that

Why?

Remember that the domain of a function are those x-values for which the function is defined. In this case, for the function is undefined, therefore x can't be 5.

twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2